Alcohol and cigarette advertising is already banned, so it's already been chipped away at.
Additionally, the purpose of drug advertising is not to sell drugs.
The purpose of drug advertising is to become the primary source of "brought to you by Pfizer" advertising revenue for the antique gaslight "news" media so they will never publish anything negative about the pharmaceutical industry.
It appears to me that drug ads themselves are an offense to the first amendment because the drug companies use them as blackmail to suppress negative news about themselves.
I hate them too. It’s a good thing I gave up smoking because ashtrays would be thrown at the tv on a regular basis when pharma ads appear.